Question

if tan( A+B)= 1and tan+(A-B)=1/√3 then find the values of A and B.

Answer 1

A = 37.5°

B = 7.5°

Answer 2

$\huge\mathfrak{Answer :-}$

⭕ tan(A +B) = 1

Tan (A+B) = Tan 45 °

A+ B = 45 °-----------------(1)

⭕ tan(A - B)= 1√3

Tan (A -B ) = Tan 30 °-------------(2)

On solving Equation 1 and 2 we get

⭕ A = 37.5

⭕B = 7.5

$\huge\mathfrak{Thank You:)}$